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A117915
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Generalized Fibonacci-like triangle.
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2
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1, 1, 1, 1, 2, 2, 1, 3, 3, 3, 1, 4, 4, 5, 5, 1, 5, 5, 7, 8, 8, 1, 6, 6, 9, 11, 13, 13, 1, 7, 7, 11, 14, 18, 21, 21, 1, 8, 8, 13, 27, 23, 29, 34, 34, 1, 9, 9, 15, 20, 28, 37, 47, 55, 55
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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COMMENTS
| Row sums are terms of A117916: (1, 2, 5, 10, 19, 34, 59...), generated by a(k) = a(k-1) + a(k-2) + n.
This is the lower triangular version of A109754 (without a row and column 0). - Ross La Haye (rlahaye(AT)new.rr.com), Apr 12 2006
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FORMULA
| Anti-diagonals of the generalized Fibonacci array, rows beginning (1,1...); (1,2...); (1,3...).
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EXAMPLE
| Using the Fibonacci operation a(k) = a(k-1) + a(k-2), rows of the array begin (1,1...); (1,2...), (1,3...);...:
1, 1, 2, 3, 5, 8,...
1, 2, 3, 5, 8, 13,...
1, 3, 4, 7, 11, 18,...
1, 4, 5, 9, 14, 23,...
1, 5, 6, 11, 17, 28,...
...
First few rows of the triangle are:
1;
1, 1;
1, 2, 2;
1, 3, 3, 3;
1, 4, 4, 5, 5;
1, 5, 5, 7, 8, 8;
1, 6, 6, 9, 11, 13, 13;
...
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CROSSREFS
| Cf. A117916.
Sequence in context: A035387 A011373 A177352 * A097094 A104726 A164999
Adjacent sequences: A117912 A117913 A117914 * A117916 A117917 A117918
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 02 2006
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